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Simplifying 30xy + -45y + -12x + 18 = 0 Reorder the terms: 18 + -12x + 30xy + -45y = 0 Solving 18 + -12x + 30xy + -45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -12x + 30xy + -18 + -45y = 0 + -18 Reorder the terms: 18 + -18 + -12x + 30xy + -45y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -12x + 30xy + -45y = 0 + -18 -12x + 30xy + -45y = 0 + -18 Combine like terms: 0 + -18 = -18 -12x + 30xy + -45y = -18 Add '45y' to each side of the equation. -12x + 30xy + -45y + 45y = -18 + 45y Combine like terms: -45y + 45y = 0 -12x + 30xy + 0 = -18 + 45y -12x + 30xy = -18 + 45y Reorder the terms: 18 + -12x + 30xy + -45y = -18 + 45y + 18 + -45y Reorder the terms: 18 + -12x + 30xy + -45y = -18 + 18 + 45y + -45y Combine like terms: -18 + 18 = 0 18 + -12x + 30xy + -45y = 0 + 45y + -45y 18 + -12x + 30xy + -45y = 45y + -45y Combine like terms: 45y + -45y = 0 18 + -12x + 30xy + -45y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -4x + 10xy + -15y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -4x + 10xy + -15y)' equal to zero and attempt to solve: Simplifying 6 + -4x + 10xy + -15y = 0 Solving 6 + -4x + 10xy + -15y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -4x + 10xy + -6 + -15y = 0 + -6 Reorder the terms: 6 + -6 + -4x + 10xy + -15y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4x + 10xy + -15y = 0 + -6 -4x + 10xy + -15y = 0 + -6 Combine like terms: 0 + -6 = -6 -4x + 10xy + -15y = -6 Add '15y' to each side of the equation. -4x + 10xy + -15y + 15y = -6 + 15y Combine like terms: -15y + 15y = 0 -4x + 10xy + 0 = -6 + 15y -4x + 10xy = -6 + 15y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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